Question

If $f\left(x\right)=x,-1\le x\le 1$, then function $f\left(x\right)$ is

• A. increasing
• B. decreasing
• C. stationary
• D. discontinuous

Answer 1

The correct option is A

increasing

Explanation for the correct option.

Find the nature of the given function.

For the function $f\left(x\right)=x$, the derivative is given as: $f\text{'}\left(x\right)=1$.

Now, as $1>0$, so for all $x$ it is found that $f\text{'}\left(x\right)>0$ and thus the function $f\left(x\right)$ is increasing.

The function $f\left(x\right)=x$ is increasing in the interval $-1\le x\le 1$.

Hence, the correct option is A.